Question

which of the following fraction is in lowest terms 91/104 , 105/112 , 5/85 , 43/83

Answer 1

Answer:

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then only I will give the answer

Answer 2

$\huge\underline\red{Answer:}$

$\small\underline\green{We \: know \: that \: a \: fraction \: is \: irreducible}$

$\small\underline\green{(or \: is \: in \: its \: lowest \: terms) \: if \: the \: HCF}$

$\small\underline\green{of \: its \: numerator \: and \: denominator}$

$\small\underline\green{is \: 1.}$

$\small\underline\green{Consider \: the \: fraction \: \frac{91}{104}}$

$\small\underline\green{HCF \: of \: 91 \: and \: 104 \: = \: 13 ≠ 1}$

$\small\underline\green{So, \: the \: fraction \: \frac{91}{104} \: is \: reducible.}$

$\small\underline\green{Consider \: the \: fraction \: \frac{105}{112} }$

$\small\underline\green{HCF \: of \: 105 \: and \: 112 \: = \: 7 ≠ 1}$

$\small\underline\green{So, \: the \: fraction \: \frac{105}{112} \: is \: reducible.}$

$\small\underline\green{Consider \: the \: fraction \: \frac{51}{85}}$

$\small\underline\green{HCF \: of \: 51 \: and \: 85 \: = \: 17 ≠ 1}$

$\small\underline\green{So, \: the \: fraction \: \frac{51}{85} \: is \: reducible.}$

$\small\underline\green{Now,}$

$\small\underline\green{Consider \: the \: fraction \: \frac{43}{83}}$

$\small\underline\green{HCF \: of \: 43 \: and \: 83 = 1}$

$\small\underline\green{So, \: the \: fraction \: \frac{43}{83} \: is \: irreducible (or}$

$\small\underline\green{is \: in \: its \: lowest \: terms).}$

$\small\underline\green{So \: the \: correct \: option \: is \: \frac{43}{83}}$

$\huge\underline\red{Explanation: }$

$\small\underline\green{Hope \: this \: answer \: will \: help \: you.}$

$\small\underline\green{Plz \: mark \: me \: as \: a \: Brainliest.}$